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Finding the Fourth Proportional to 5,218.82, 7,201.94 and 2,828.78

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Solution

The fourth proportional to 5,218.82, 7,201.94 and 2,828.78 is: 3,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.82 : 7,201.94 = 2,828.78 : x
  2. Step 2: Convert to fraction form
    5,218.82/7,201.94 = 2,828.78/x
  3. Step 3: Cross multiply
    5,218.82x = 7,201.94 × 2,828.78
  4. Step 4: Simplify right side
    5,218.82x = 20,372,703.83
  5. Step 5: Solve for x
    x = 20,372,703.83/5,218.82
  6. Step 6: Final answer
    x = 3,903.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.